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The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?



Answer :

[tex]x > y\\\\x-y=25\\\\y=\frac{1}{6}x-substitute:\\\\x-\frac{1}{6}x=25\\\\\frac{5}{6}x=25\ \ \ \ /\cdot\frac{6}{5}\\\\x=25\cdot\frac{6}{5}\\\\x=5\cdot6\\\\x=30\\\\30-y=25\to y=5\\\\Answer:The\ smaller\ number\ is\ 5.[/tex]
konrad509
x - larger number
y - smaller number

[tex]x-y=25\\ y=\frac{x}{6}\\\\ x=y+25\\ 6y=x\\ \\6y=y+25\\ 5y=25\\ y=5 [/tex]

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